Read the math notes box in this lesson for information about an alternative notation for sequences and write the first 5 terms of these sequences. an=2n-5

Answer:

\(\frac{15}{10}\)  and \(\frac{3}{10}\)

 \(\frac{15}{10} -\frac{12}{10} = \frac{3}{10}\)

Step-by-step explanation:

Given

       \(\frac{3}{2} - \frac{6}{5}\)

Now the L.C.M = 10

 =  \(\frac{15-12}{10}\)

 =  \(\frac{15}{10} -\frac{12}{10} = \frac{3}{10}\)

Answer:

5+40x

Step-by-step explanation:

I hope this helps. Best of luck.

Answer:

-11 times by -6x

Step-by-step explanation:

Answer:

yjfjnvvygghvdhjcfubdfjb

Answer:

It is D or B. If i am not mistaken

Answer:

588

Step-by-step explanation:

multiply length x width x height 7×6×14

Step-by-step explanation:

multiply 7,6,14

=588

therefore the answer in cubic centimeters is= 588

Answer: 15.1

Step-by-step explanation: subtracting a negative (ex. 1 - (-1)) just change to addition (prev. ex. would be 1+1) (also adding decimals is like adding normal numbers just remember the place values

If at least two sides and one angle of two triangles are similar, then the triangles are congruent.

What in mathematics is the congruent?

Use the Third Angles Theorem for  two figures are congruent.

When two of a triangle's angles match up with two of another triangle's angles, the third angle must likewise match up.

If at least two sides and one angle of two triangles are similar, then the triangles are congruent.

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Answer: The answer is 65.5%

Step-by-step explanation: I hope it helps you!

The equation of the line that meets the following conditions are as follows;

5. y + 2 = 3(x - 4).

6. y - 7 = -3/2(x + 5)

7. y + 8 = -20/7(x - 4).

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

At data point (4, -2) and a slope of 3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y + 2 = 3(x - 4)

Part 6.

At data point (-5, 7) and a slope of -3/2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 7 = -3/2(x + 5)

Part 7.

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (12 + 8)/(-3 - 4)

Slope (m) = -20/7

At data point (4, -8) and a slope of -20/7, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y + 8 = -20/7(x - 4).

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Answer:

Step-by-step explanation:

0.6 add thatby 3.8 and the answer is 5

The equation of the circle is x² + y² − 8x - 6y + 9 = 0.

(x - h)2+ (y - k)2 = r2 is the formula for the equation of a circle, where (h, k) stands for the circle's center's coordinates and r for the radius. A circle touches the x-axis at (3,0) if it is tangent to the x-axis at that location.

From the graph,

It is clear that radius = 2 units and center = (4,3)

The standard equation of the circle is -

(x − a)² + (y − b)² = (r)²

where (a,b) represents the coordinates of the circle and r = radius

Now putting the values in the above equation,

(x − 4)² + (y − 3)² = (4)²

(x − 4)² + (y - 3)² = 16

If required for further work you can expand this to give:

x² - 8x + 16 + y²-6y+9-16= 0

x² + y² − 8x - 6y + 9 = 0

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Answer: False

Step-by-step explanation: It is false because the y-coordinate is the range.

Answer:

5.3 is the answer rounded to the nearest 10th

The radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

To find the radius of the silo, we need to determine the radius of the cylindrical section.

The volume of the cylindrical section can be calculated using the formula:

\(V_{cylinder} = \pi * r^2 * h\)

where \(V_{cylinder}\) is the volume of the cylindrical section, r is the radius of the cylindrical section, and h is the height of the cylindrical section.

Given that the cylindrical section is 30 ft tall, we can rewrite the formula as:

\(V_{cylinder} = \pi * r^2 * 30\)

To find the radius, we can rearrange the formula:

\(r^2 = V_{cylinder} / (\pi * 30)\)

Now, we can substitute the total volume of the silo, which is 10,000 cubic feet, and solve for the radius:

\(r^2 = 10,000 / (\pi * 30)\)

Simplifying further:

\(r^2 = 106.103\)

Taking the square root of both sides, we find:

\(r = \sqrt{106.103} = 10.3\)

Therefore, the radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

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Answer:

Step-by-step explanation:

In this problem we are required to find the cost of the laptop when 9.25% of the cost is added as tax

we are given that the tax rate is 9.25% of the initial cost

and the initial cost is $703.98

 let us calculate 9.25% of  $703.98

(9.25/100)* 703.98= 0.0925*703.98= $65.12

Hence the charges for tax is $65.12

The total cost of the laptop when tax is included is

the initial cost Plus the tax charges= $703.98+$65.12= $769.098

$769.10

The exact value of the circle is 36π square feet. Option A

The formula used for calculating the area of a given circle is expressed with the equation;

A = π(d/2)^2

A = πr²

Such that the parameters are;

The formula for radius is given as;

radius = diameter/2

divide the values

radius = 6 feet

Substitute the values

Area = 3.14 ×6²

multiply the values

Area = 36π square feet

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Answer: The answer is the first/top choice.

Step-by-step explanation: By definition, congruent is "Identical in form, coinciding exactly when superimposed". If you superimposed on onto the other, it would not match up, and therefore would not be congruent.

The correct option is A. The volume is 6.77 cubic units

The function and interval given are f(x) = (x - 1)^-1/4 and the x-axis on the interval (1, 6].

We want to find the volume of the solid of revolution when the region is rotated about the x-axis.

Let's consider the graph of the function: graph{(x-1)^(-1/4) [-10, 10, -5, 5]}

To set up the integral to find the volume of the solid of revolution, we can use the disk method.

We need to integrate the area of each disk perpendicular to the x-axis from x = 1 to x = 6.

The area of a disk is given by the formula: A = πr²

where r is the radius of the disk and is equal to f(x) in this case.

Therefore, the area of a disk is: A = πf(x)²

Let's substitute f(x) into this formula and integrate from x = 1 to x = 6 to get the volume of the solid.

We have The integral that should be used to find the volume of the solid is given as:

V = ∫₁⁶ πf(x)² dx

We substitute f(x) = (x - 1)^(-1/4) into this expression and integrate to get the volume.

We have: V = ∫₁⁶ π(x - 1)^(-1/2) dx

Let u = x - 1, so that du/dx = 1 and dx = du.

When x = 1, u = 0, and when x = 6, u = 5.

Therefore, we have: V = ∫₀⁵ πu^(-1/2) du= 2π[u^(1/2)]₀⁵= 2π(√5 - 1) ≈ 6.77 cubic units.

The volume of the solid of revolution when the region is rotated about the x-axis is approximately 6.77 cubic units.

Thus, the correct option is A. The volume is 6.77 cubic units.

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Answer:

Step-by-step explanation:

tried my best as the first two got me stuck

wouldn't recommend trying my answer and Id wait for another answer

x= - 0.9, y=2.9

Or

x= 2.9, y= -0.9

Hope this helps!

Answer:

y = 1/4x - 8

Step-by-step explanation:

Given

y + 2 = 1/4 ( x - 24 )

Arranging in slope intercept form; y = mx + c

y + 2 = 1/4x - 24 /4

y+ 2 = 1/4x - 6

y = 1/4x - 6 - 2

y = 1/4x - 8

Hope it will help :)

Answer:

y=1/4×-8

Step-by-step explanation:

say thanks if you like

Answer:

200 cc

Step-by-step explanation:

Volume of the prism = Area of base * height

= 40*5

= 200 cubic cm

Your maximum possible damage per second is of 2 points, the second at 19%.

Given that in a certain game, each point of attack damage costs 25 gold, and each percent of additional attack speed costs 25 gold, assuming you start with 0 attack damage 1 shot per second attack speed, and 3000 gold, to determine what is your maximum possible damage per second the following calculation must be made:

Therefore, your maximum possible damage per second is of 2 points, the second at 19%.

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The measure of angle BC is 63 degrees. To determine the measure of angle BC, we need to use the fact that OA is a straight line and that BC is a transversal intersecting two parallel lines OA and CD.

Since OA is a straight line, we know that the sum of angles AOC and COB is equal to 180 degrees. Similarly, since BC is a transversal intersecting parallel line, the alternate interior angles are congruent, which means that mBC = mCDA.

Putting this together, we can use the given information to find mCDA.

We know that mOA = 39 degrees and

mAOC = 180 - mOA - mOCA

= 180 - 39 - 78 = 63 degrees.

Since CD is parallel to OA, we know that mCDA = mAOC = 63 degrees.

Therefore, the measure of angle BC is 63 degrees.

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Your new average would be around 73.7

The relationship between DE and AC of the similar triangles is;

DE = ¹/₂AC

Similar triangles are defined as triangles that have the same shape, but then their sizes may very well defer. This means that all equilateral triangles, squares of any side lengths are some types of similar objects.

Now, if two triangles are said to be similar, then it means that their corresponding angles are congruent and also their corresponding sides would be in equal proportion

From the given image, we can deduce that;

BD = AD (Given)

BE = CE = ¹/₂BC

Thus, from the concept of similar triangles, we can say that;

DE = ¹/₂AC

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Answer:

10 dogs

Step-by-step explanation:

we make 5 times 5 to get 25

then we make also 2 times 5 to know the number of girl dogs

then the answer will be 10

Answer: 23.25

Step-by-step explanation:

to find mean add all yours values up and than divide by the number of values in the equation, so 5+9+6+73= 93 and than divide it by 4, which gets u 23.25

Step-by-step explanation: